scholarly journals The Computation of the Magnitude of the Far Field for an Eccentric Circular Cylinder

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Bülent Yılmaz
Keyword(s):  
Circular Cylinder ◽  
Plane Wave ◽  
Radiation Condition ◽  
Higher Order ◽  
Numerical Results ◽  
Surface Radiation ◽  
Far Field ◽  
Condition Method ◽  
Radiation Conditions

The specific case of scattering of a plane wave by a two-layered penetrable eccentric circular cylinder has been considered and it is about the validity of the on surface radiation condition method and its applications to the scattering of a plane wave by a two-layered penetrable eccentric circular cylinder. The transformation of the problem of scattering by the eccentric circular cylinder to the problem of scattering by the concentric circular cylinder by using higher order radiation conditions, is observed. Numerical results presented the magnitude of the far field.

scholarly journals The Performance of the Higher-Order Radiation Condition Method for the Penetrable Cylinder

2007 ◽  
Vol 2007 ◽  
pp. 1-14 ◽  
Author(s):  
Bülent Yilmaz
Keyword(s):  
Total Pressure ◽  
Wave Speed ◽  
Surrounding Medium ◽  
Radiation Condition ◽  
Higher Order ◽  
Two Dimensions ◽  
Total Field ◽  
Condition Method ◽  
Cartesian System ◽  
Total Velocity

We have considered the scattering of a plane wave by a penetrable acoustic circular cylinder. The boundary conditions are continuity of the total pressure and the total velocity. The wave speed and density of the target are different from that of the surrounding medium. We investigated the performance of higher-order SRCs up toL4operator in two dimensions. We assume that in the rectangular Cartesian system of axes,(x,y,z), thezaxis coincides with the axis of the cylinder and an incident wave propagates in a direction perpendicular to thezaxis. All the field quantities are then independent ofz. Numerical results are added to present the change of the module of the total field and the magnitude of the far field with respect toθ.

Asymptotic Solutions and Radiation Conditions for Second-Order Diffracted Waves

1989 ◽  
Vol 111 (3) ◽  
pp. 203-207
Author(s):  
H. Huang ◽  
J. Li ◽  
X. Wang
Keyword(s):  
Finite Element ◽  
Circular Cylinder ◽  
Second Order ◽  
Asymptotic Solutions ◽  
Wave Forces ◽  
Far Field ◽  
Two Dimensional ◽  
Diffracted Waves ◽  
Artificial Boundaries ◽  
Radiation Conditions

The far-field asymptotic solutions for the second-order diffracted waves have been developed, both in three and two-dimensional problems. The radiation conditions for the second-order diffracted waves are derived by using the asymptotic solutions. The nonlinear wave forces on a half-circular cylinder on seabed are presented by using finite element methods with the radiation conditions imposed on the artificial boundaries.

The effects of a corner on a propagating internal gravity wave

1970 ◽  
Vol 42 (2) ◽  
pp. 257-267 ◽  
Author(s):  
R. M. Robinson
Keyword(s):  
Plane Wave ◽  
Internal Wave ◽  
Wave Equations ◽  
Internal Gravity Wave ◽  
Radiation Condition ◽  
Ray Theory ◽  
Present Solution ◽  
Linear Internal Wave ◽  
Radiation Conditions ◽  
Infinite Wall

A solution satisfying the usual radiation conditions is found to the problem of an internal wave propagating towards a corner. It is found that, far from the corner, and the characteristic emanating from the corner, the solution is asymptotically equivalent to the solution found by plane wave reflexions from an infinite wall. The present solution shows that, by imposing the radiation condition, a singularity predicted by the ray theory along the corner characteristic is absent. A further singularity in the present solution along the same characteristic is shown to be due to an inability of the usual linear internal wave equations to fully describe the motion. The solution is for restricted corner angles.

scholarly journals A Coupling between Integral Equations and On-Surface Radiation Conditions for Diffraction Problems by Non Convex Scatterers

Mathematics ◽  
2021 ◽  
Vol 9 (18) ◽  
pp. 2299
Author(s):  
Saleh Mousa Alzahrani ◽  
Xavier Antoine ◽  
Chokri Chniti
Keyword(s):  
Radiation Condition ◽  
Surface Radiation ◽  
Surface Integral ◽  
Scattering Problems ◽  
Operator Representation ◽  
Convex Part ◽  
Coupling Procedure ◽  
Surface Operator ◽  
Radiation Conditions ◽  
Improved Accuracy

The aim of this paper is to introduce an orignal coupling procedure between surface integral equation formulations and on-surface radiation condition (OSRC) methods for solving two-dimensional scattering problems for non convex structures. The key point is that the use of the OSRC introduces a sparse block in the surface operator representation of the wave field while the integral part leads to an improved accuracy of the OSRC method in the non convex part of the scattering structure. The procedure is given for both the Dirichlet and Neumann scattering problems. Some numerical simulations show the improvement induced by the coupling method.

Sign in / Sign up

Export Citation Format

Share Document